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23041222214032 = 24111031720773867
BaseRepresentation
bin1010011110100101100111…
…10111011000000110010000
310000120201102101121020001201
411033102303313120012100
511010001410341322112
6121000554044440544
74565446652225011
oct517226367300620
9100521371536051
1023041222214032
1173838002902a0
122701662849154
13cb1a16167759
145992b5b95008
1529e54d539257
hex14f4b3dd8190

23041222214032 has 80 divisors (see below), whose sum is σ = 49177111606272. Its totient is φ = 10370857311360.

The previous prime is 23041222214029. The next prime is 23041222214083.

23041222214032 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×230412222140322 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 311891563 + ... + 311965429.

Almost surely, 223041222214032 is an apocalyptic number.

23041222214032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23041222214032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24588555803136).

23041222214032 is an abundant number, since it is smaller than the sum of its proper divisors (26135889392240).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

23041222214032 is a wasteful number, since it uses less digits than its factorization.

23041222214032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91196 (or 91190 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

It can be divided in two parts, 2304122 and 2214032, that added together give a palindrome (4518154).

The spelling of 23041222214032 in words is "twenty-three trillion, forty-one billion, two hundred twenty-two million, two hundred fourteen thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 44 88 103 176 206 412 824 1133 1648 2266 4532 9064 17207 18128 34414 68828 73867 137656 147734 189277 275312 295468 378554 590936 757108 812537 1181872 1514216 1625074 1772321 3028432 3250148 3544642 6500296 7089284 7608301 13000592 14178568 15216602 19495531 28357136 30433204 38991062 60866408 77982124 83691311 121732816 155964248 167382622 311928496 334765244 669530488 1271029469 1339060976 2542058938 5084117876 10168235752 13981324159 20336471504 27962648318 55925296636 111850593272 130916035307 223701186544 261832070614 523664141228 1047328282456 1440076388377 2094656564912 2880152776754 5760305553508 11520611107016 23041222214032